Three solutions for a nonlinear Neumann boundary value problem

Najib Tsouli; Omar Chakrone; Omar Darhouche; Mostafa Rahmani

Najib Tsouli ; Omar Chakrone ; Omar Darhouche ; Mostafa Rahmani

Applicationes Mathematicae, Tome 41 (2014), p. 257-266 / Harvested from The Polish Digital Mathematics Library

Résumé

The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form $- Δ_{p (x)} u + a (x) | u^{| p (x) - 2} u = μ g (x, u)$ in Ω, ${| \nabla u |}^{p (x) - 2} \partial u / \partial ν = λ f (x, u)$ on ∂Ω. Our technical approach is based on the three critical points theorem due to Ricceri.

Publié le : 2014-01-01

Zbl 1304.35295

EUDML-ID : urn:eudml:doc:279873

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     author = {Najib Tsouli and Omar Chakrone and Omar Darhouche and Mostafa Rahmani},
     title = {Three solutions for a nonlinear Neumann boundary value problem},
     journal = {Applicationes Mathematicae},
     volume = {41},
     year = {2014},
     pages = {257-266},
     zbl = {1304.35295},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-13}
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Najib Tsouli; Omar Chakrone; Omar Darhouche; Mostafa Rahmani. Three solutions for a nonlinear Neumann boundary value problem. Applicationes Mathematicae, Tome 41 (2014) pp. 257-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-2-13/